Similarity as an extension of symmetry and its application to superrationality

SENCI, CARLOS MAXIMILIANO; TOHMÉ, FERNANDO ABEL

MANUSCRITO

Universidade Estadual de Campinas - UNICAMP, Centro de Logica, Epistemologia e Historia da Ciencia

Año: 2021 vol. 44 p. 129 - 156

0100-6045

In this paper we present a concept of similarity in games, on which to ground alternative solution concepts, some of which differ from the classical notions in the field. In order to do this we impose a constraint on players? beliefs that amounts to a variant of the well-known symmetry principle in classical bargaining theory. We show how this similarity relation helps to identify different Nash equilibria in games, and how these ?similar Nash equilibria? can be extended to non-symmetric games. While the notion is normative, it is nonetheless inspired by phenomena in which similarities between players lead to outcomes detected in behavioral studies. We study the strategic properties of the concept of similarity and discuss its relationships with Hofstadter? notion of superrationality.